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Finding the Fourth Proportional to 1,484.96, 2,228.32 and 1,409.92

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Solution

The fourth proportional to 1,484.96, 2,228.32 and 1,409.92 is: 2,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.96 : 2,228.32 = 1,409.92 : x
  2. Step 2: Convert to fraction form
    1,484.96/2,228.32 = 1,409.92/x
  3. Step 3: Cross multiply
    1,484.96x = 2,228.32 × 1,409.92
  4. Step 4: Simplify right side
    1,484.96x = 3,141,752.93
  5. Step 5: Solve for x
    x = 3,141,752.93/1,484.96
  6. Step 6: Final answer
    x = 2,115.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.